Basic Mathematics for College Students

57. Complete the multiplication table of fractions.


58. Complete the table by finding the original fraction,
    given its square.

Multiply. Write the product in simplest form.

59. 
    
    
    
    60. 
        
    
    
    
    


60. 
    
    
    
    62. 
        
    
    
    
    


61. 
    
    
    
    64. 
        
    
    
    
    


62. 
    
    
    
    66. 
        
    
    
    
    


63. 
    
    
    
    68. 
        
    
    
    
    


64. 
    
    
    
    70. 
        
    
    
    
    


65. 
    
    
    
    72. 
        
    
    
    
    

73. 74. 

24

5



7

12



1

14



11

12



18

55

 5

5

6

a

2

3

b( 12)

5

3

a

6

15

b( 4)

4

5



5

4

3

4



4

3

a

2

5

b

3

a

3

4

b

3

6 a

2

3

 b

5

6

 18

a

3

8

ba

2

3

ba

12

27

a b

2

3

ba

1

16

ba

4

5

b

5

9



2

7

3

8



7

16



20

21



7

16



15

24



8

25

1

6

1

5

1

4

1

3

1

2

1

6

1

5

1

4

1

3

1

2



TRY IT YOURSELF 75. 76.

77. 
    
    
    
    78. 
        
    
    
    
    


78. 
    
    
    
    80. 
        
    
    
    
    


79. 
    
    
    
    82. 
        
    
    
    
    


80. 
    
    
    
    84. 
        
    
    
    
    


81. 
    
    
    
    86. 
        
    
    
    
    


82. SENATE RULES A filibusteris a method U.S.
    Senators sometimes use to block passage of a bill or
    appointment by talking endlessly. It takes of those
    voting in the Senate to break a filibuster. If all 100
    Senators cast a vote, how many of their votes does it
    take to break a filibuster?


83. GENETICS Gregor Mendel (1822–1884), an
    Augustinian monk, is credited with developing a
    model that became the foundation of modern
    genetics. In his experiments, he crossed purple-
    flowered plants with white-flowered plants and found
    that of the offspring plants had purple flowers and
    of them had white flowers. Refer to the illustration
    below, which shows a group of offspring plants.
    According to this concept, when the plants begin to
    flower, how many will have purple flowers?


84. BOUNCING BALLS A tennis ball is dropped from
    a height of 54 inches. Each time it hits the ground, it
    rebounds one-third of the previous height that it fell.
    Find the three missing rebound heights in the
    illustration.

54 in.

Ground

Rebound height 3

Rebound height 2

Rebound height 1

1

4

3

4

3

5

APPLICATIONS

5 

7

5



3

14

3

16

 4 

2

3



5

16

a

8

3

 b

14

15

a

11

8

b



5

4

a

8

15

ba

2

3

ba

7

2

b

3

4

a

5

7

ba

2

3

ba

7

3

b

a

7

6

b

9

49

7

10

a

20

21

b

a

5

6

b

2

a

5

9

b

2

a

16

35

ba

25

48

a b

11

21

ba

14

33

b

230 Chapter 3 Fractions and Mixed Numbers

Original fraction squared Original fraction

9

121

81

36

16

49

4

25

1

100

1

9